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in Algebra by (53.5k points)
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It is given that \(\frac1{1^4} + \frac1{2^4} + \frac1{3^4} +..... \infty = \frac{\pi^4}{90}\) , then \(\frac1{1^4} + \frac1{3^4} + \frac1{5^4} +..... \infty \) is equal to

(a) \(\frac {\pi^4}{96}\)

(b) \(\frac {\pi^4}{45}\)

(c) \(\frac {89\pi^4}{90}\)

(d) None of these

1 Answer

+1 vote
by (53.3k points)
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Best answer

Correct option is (a) \(\frac {\pi^4}{96}\) 

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